Parametric interpolation framework for scalar conservation laws (Q2059643)

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Language	Label	Description	Also known as
English	Parametric interpolation framework for scalar conservation laws	scientific article

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scholarly article

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Parametric interpolation framework for scalar conservation laws (English)

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zbMATH Open document ID

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10.1016/j.cam.2021.113891

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Geoffrey McGregor

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Jean-Christophe Nave

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Journal of Computational and Applied Mathematics

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publication date

14 December 2021

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full work available at URL

https://arxiv.org/abs/1910.13486

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Mathematics Subject Classification ID

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zbMATH DE Number

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zbMATH Keywords

conservation laws

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numerical methods

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interpolation

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MaRDI profile type

MaRDI publication profile

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Polygonal approximations of solutions of the initial value problem for a conservation law

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A Moving Mesh Numerical Method for Hyperbolic Conservation Laws

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Averaged Multivalued Solutions for Scalar Conservation Laws

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Finite Volume Methods for Hyperbolic Problems

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Weighted essentially non-oscillatory schemes

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A new class of adaptive high-order targeted ENO schemes for hyperbolic conservation laws

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An improved fifth order alternative WENO-Z finite difference scheme for hyperbolic conservation laws

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A Hermite WENO reconstruction for fourth order temporal accurate schemes based on the GRP solver for hyperbolic conservation laws

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The 6th-order weighted ENO schemes for hyperbolic conservation laws

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High order WENO and DG methods for time-dependent convection-dominated PDEs: A brief survey of several recent developments

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Hermite WENO schemes and their application as limiters for Runge-Kutta discontinuous Galerkin method: One-dimensional case.

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Hermite WENO schemes and their application as limiters for Runge-Kutta discontinuous Galerkin method. II: Two dimensional case

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A Hermite WENO-based limiter for discontinuous Galerkin method on unstructured grids

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Towards the ultimate conservative difference scheme. II: Monotonicity and conservation combined in a second-order scheme

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Shock capturing by Bernstein polynomials for scalar conservation laws

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Total variation bounded flux limiters for high order finite difference schemes solving one-dimensional scalar conservation laws

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Consistency of finite volume approximations to nonlinear hyperbolic balance laws

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High order explicit local time stepping methods for hyperbolic conservation laws

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A front tracking method for conservation laws in one dimension

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On Upstream Differencing and Godunov-Type Schemes for Hyperbolic Conservation Laws

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Restoration of the contact surface in the HLL-Riemann solver

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Three dimensional HLL Riemann solver for conservation laws on structured meshes; application to Euler and magnetohydrodynamic flows

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A simple two-dimensional extension of the HLL Riemann solver for hyperbolic systems of conservation laws

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A family of HLL-type solvers for the generalized Riemann problem

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A Method for the Numerical Calculation of Hydrodynamic Shocks

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HIGH-ORDER DISCONTINUOUS GALERKIN METHODS FOR CFD

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Viscous Shock Capturing in a Time-Explicit Discontinuous Galerkin Method

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Smooth and compactly supported viscous sub-cell shock capturing for discontinuous Galerkin methods

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Controlling oscillations in high-order discontinuous Galerkin schemes using artificial viscosity tuned by neural networks

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Efficient construction of high-resolution TVD conservative schemes for equations with source terms: application to shallow water flows

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High order well-balanced finite volume WENO schemes and discontinuous Galerkin methods for a class of hyperbolic systems with source terms

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High order finite difference methods with subcell resolution for advection equations with stiff source terms

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An exactly conservative particle method for one dimensional scalar conservation laws

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High accuracy geometric Hermite interpolation

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Construction of \(G^1\) planar Hermite interpolants with prescribed arc lengths

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Hermite Interpolation by Pythagorean Hodograph Quintics

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Geometric Hermite curves with minimum strain energy

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Area-preserving geometric Hermite interpolation

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AN EQUAL-AREA METHOD FOR SCALAR CONSERVATION LAWS

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Hermite parametric surface interpolation based on Argyris element

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Shock Capturing for Discontinuous Galerkin Methods using Finite Volume Subcells

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